Geometry Chapter 1 Vocabulary
36 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the definition of a line segment?

A measurable part of a line that consists of two points called endpoints and all the points between them.

What is the definition of a point?

A location. Neither shape nor size.

What is the definition of a segment bisector?

A segment, line, or plane that intersects a segment at its midpoint.

What is the definition of a regular polygon?

<p>A polygon with all congruent angles.</p> Signup and view all the answers

What is the definition of a concave polygon?

<p>A polygon for which there is a line containing a side of the polygon that also contains a point in the interior of the polygon.</p> Signup and view all the answers

What is the definition of an obtuse angle?

<p>An angle with a degree measure greater than 90.</p> Signup and view all the answers

What is the definition of a transversal?

<p>A line that intersects two or more lines at two different points.</p> Signup and view all the answers

What is the definition of skew lines?

<p>Lines that do not intersect and are not coplanar.</p> Signup and view all the answers

What is the definition of corresponding angles?

<p>Angles that lie on the same side of the transversal and on the same side of the line.</p> Signup and view all the answers

What is the definition of alternate interior angles?

<p>Non-adjacent inside angles that lie on opposite sides of the transversal.</p> Signup and view all the answers

What is the definition of inductive reasoning?

<p>A reasoning that uses a number of specific examples to arrive at a conclusion.</p> Signup and view all the answers

What is the definition of a diagonal?

<p>A segment that connects any two nonconsecutive vertices.</p> Signup and view all the answers

What is the definition of a parallelogram?

<p>A quadrilateral with both pairs of opposite sides parallel.</p> Signup and view all the answers

What is the definition of a rhombus?

<p>A parallelogram with 4 congruent sides.</p> Signup and view all the answers

What is the definition of a square?

<p>A parallelogram with 4 congruent sides and 4 right angles.</p> Signup and view all the answers

What is the definition of a trapezoid?

<p>A quadrilateral with one pair of parallel sides.</p> Signup and view all the answers

What is the definition of a midsegment of a trapezoid?

<p>A segment that connects the midpoints of the legs.</p> Signup and view all the answers

What are opposite rays?

<p>Rays that share a common endpoint and are collinear.</p> Signup and view all the answers

What is the definition of a vertex?

<p>A common endpoint of the angle.</p> Signup and view all the answers

What does the term 'undefined terms' mean in geometry?

<p>Words, usually readily understood that are not formally explained by means of more basic words and concepts.</p> Signup and view all the answers

What is a corollary?

<p>A statement that can easily prove using a theorem.</p> Signup and view all the answers

What is a conjecture?

<p>An educated guess.</p> Signup and view all the answers

What is a counter example?

<p>An example used to show that a given statement is not always true.</p> Signup and view all the answers

What is a flow proof?

<p>Uses statements written in boxes and arrows to show the logical progression of an argument.</p> Signup and view all the answers

What are the legs of an isosceles triangle?

<p>Two congruent sides.</p> Signup and view all the answers

What is an included angle?

<p>The angle formed by two sides of a polygon that is a side of each of two angles.</p> Signup and view all the answers

What is an altitude in a triangle?

<p>A segment from a vertex of the triangle to the line containing the opposite side and perpendicular to that side.</p> Signup and view all the answers

What is a perpendicular bisector in a triangle?

<p>A line/segment/ray that passes through the midpoint of a side and is perpendicular to that side.</p> Signup and view all the answers

What is a point of concurrency?

<p>Point of intersection of concurrent lines.</p> Signup and view all the answers

What is an orthocenter?

<p>Lines containing the altitudes of a triangle are concurrent, intersecting at a point.</p> Signup and view all the answers

What is the centroid of a triangle?

<p>Point of concurrency of the medians of a triangle.</p> Signup and view all the answers

What is the circumcenter of a triangle?

<p>Point of concurrency of the perpendicular bisector of a triangle.</p> Signup and view all the answers

What is a median of a triangle?

<p>A line segment with endpoints that are a vertex of a triangle and the midpoint of the side opposite the vertex.</p> Signup and view all the answers

What is indirect reasoning?

<p>Reasoning that assumes that this assumption leads to a contradiction of the hypothesis like a postulate theorem, or corollary.</p> Signup and view all the answers

What are alternate interior angles?

<p>Non-adjacent inside angles that lie on opposite sides of the transversal.</p> Signup and view all the answers

What are the defined terms in geometry?

<p>Terms that are explained using defined terms or other defined terms.</p> Signup and view all the answers

Flashcards

n-gon

A polygon with n sides.

Plane

A flat surface that extends indefinitely in all directions.

Linear pair

A pair of adjacent angles whose noncommon sides are opposite rays.

Acute angle

An angle with a degree measure less than 90 degrees.

Signup and view all the flashcards

Distance

The length of a segment between two points.

Signup and view all the flashcards

Angle bisector

A ray that divides an angle into two congruent angles.

Signup and view all the flashcards

Opposite rays

Rays that share a common endpoint and are collinear.

Signup and view all the flashcards

Vertical angles

Two nonadjacent angles formed by two intersecting lines.

Signup and view all the flashcards

Construction

A method of creating geometric figures without the benefit of measuring tools.

Signup and view all the flashcards

Degrees

A unit of measure used in measuring angles and arcs.

Signup and view all the flashcards

Vertex

A common endpoint of the angle.

Signup and view all the flashcards

Ray

Part of a line. Has one endpoint and extends indefinitely in one direction.

Signup and view all the flashcards

Undefined terms

Words, usually readily understood, that are not formally explained.

Signup and view all the flashcards

Line segment

A measurable part of a line that consists of two points called endpoints and all the points between them.

Signup and view all the flashcards

Intersection

A set of points common to two or more geometric figures.

Signup and view all the flashcards

Coplanar

Points that lie in the same plane.

Signup and view all the flashcards

Angle

Formed by two noncollinear rays that have a common endpoint.

Signup and view all the flashcards

Point

A location. Neither shape nor size.

Signup and view all the flashcards

Line

Made up of points. Has no thickness or width.

Signup and view all the flashcards

Segment bisector

A segment, line, or plane that intersects a segment at its midpoint.

Signup and view all the flashcards

Perpendicular

Are lines, segments, or rays that form right angles.

Signup and view all the flashcards

Sides

The rays of the angle.

Signup and view all the flashcards

Midpoint

The point on a segment exactly halfway between the endpoints of the segment.

Signup and view all the flashcards

Congruent segments/angles

Segments or angles that have the same measures.

Signup and view all the flashcards

Supplementary angles

Two angles with measures that have a sum of 180 degrees.

Signup and view all the flashcards

Complementary angles

Two angles with measures that have a sum of 90 degrees.

Signup and view all the flashcards

Collinear

Points that lie on the same line.

Signup and view all the flashcards

Right angle

An angle with a degree measure of 90 degrees.

Signup and view all the flashcards

Circumference

The distance around a circle.

Signup and view all the flashcards

Vertex of the polygon

Vertex of each angle of a polygon.

Signup and view all the flashcards

Irrational number

A number that cannot be expressed as a terminating or repeating decimal.

Signup and view all the flashcards

Congruent

Having the same measure.

Signup and view all the flashcards

Convex

A polygon for which there is no line containing both a side of the polygon and a point in the interior of the polygon.

Signup and view all the flashcards

Polygon

A closed figure formed by a finite number of coplanar segments.

Signup and view all the flashcards

Perimeter

The sum of the lengths of the sides of the polygon.

Signup and view all the flashcards

Regular polygon

A polygon with all congruent angles.

Signup and view all the flashcards

Concave

A polygon for which there is a line containing a side of the polygon that also contains a point in the interior of a polygon.

Signup and view all the flashcards

Defined terms

Explained using defined terms or other defined terms.

Signup and view all the flashcards

Obtuse angle

An angle with a degree measure greater than 90 degrees.

Signup and view all the flashcards

Regular polygon

A polygon with all congruent sides.

Signup and view all the flashcards

Interior points

Points that are inside of the angle.

Signup and view all the flashcards

Area

Number of square units needed to cover a surface.

Signup and view all the flashcards

Space

Defined as boundless, three-dimensional set of all points.

Signup and view all the flashcards

Adjacent angles

Two angles that lie on the same plane, have a common vertex and a common side, but no common interior points.

Signup and view all the flashcards

Alternate interior angles

Non-adjacent outside angles that lie on opposite sides of the transversal.

Signup and view all the flashcards

Point-slope form

y - y1 = m(x - x1) where (x,y) is any point on the line and m is the slope of the line.

Signup and view all the flashcards

Parallel planes

Planes that do not intersect.

Signup and view all the flashcards

Theorem

A statement or conjecture that can be proven true by undefined terms, definitions, and postulates.

Signup and view all the flashcards

Transversal

A line that intersects two or more lines at two different points.

Signup and view all the flashcards

Consecutive interior angles

Interior angles that lie on the same side of the transversal.

Signup and view all the flashcards

Statement

A sentence that is either true or false.

Signup and view all the flashcards

Skew lines

Lines that do not intersect and are not coplanar.

Signup and view all the flashcards

Slope

Ratio of the change along the y-axis to the change along the x-axis.

Signup and view all the flashcards

Corresponding angles

Angles that lie on the same side of the transversal and on the same side of the line.

Signup and view all the flashcards

Parallel lines

Coplanar lines that don't intersect.

Signup and view all the flashcards

Slope-intercept form

y = mx + b

Signup and view all the flashcards

Alternate interior angles

Non-adjacent inside angles that lie on opposite sides of the transversal.

Signup and view all the flashcards

Proof

A logical argument in which each statement you make is supported by a statement that is accepted as true.

Signup and view all the flashcards

Inductive reasoning

A reasoning that uses a number of specific examples to arrive at a conclusion.

Signup and view all the flashcards

Postulate

A statement that is accepted as true without proof.

Signup and view all the flashcards

Deductive reasoning

A system of reasoning that uses facts, rules, definitions, or properties to reach a conclusion.

Signup and view all the flashcards

Formal proof

Contains statements and reasons in 2 columns.

Signup and view all the flashcards

Counter example

An example used to show that a given statement is not always true.

Signup and view all the flashcards

Conjecture

An educated guess.

Signup and view all the flashcards

Corresponding Parts

Matching parts of congruent polygons.

Signup and view all the flashcards

Corollary

A statement that can easily prove using a theorem.

Signup and view all the flashcards

Vertex angle

The angle with sides that are legs.

Signup and view all the flashcards

Base angle

The two angles formed by the base and the congruent side.

Signup and view all the flashcards

Auxiliary line

An extra line or segment drawn in a figure to help analyze geometric relationship.

Signup and view all the flashcards

Included angle

The angle formed by two sides and the angle.

Signup and view all the flashcards

Flow proof

Uses statements written in boxes and arrows to show the logical progression of an argument.

Signup and view all the flashcards

Congruent polygons

Polygons in which all matching parts are congruent.

Signup and view all the flashcards

Exterior angle

Formed by one side of a triangle and the extension of the adjacent side.

Signup and view all the flashcards

Legs of an isosceles triangle

Two congruent sides of an isosceles triangle.

Signup and view all the flashcards

Remote interior angles

The angles of a triangle that are not adjacent to a given exterior angle.

Signup and view all the flashcards

Included side

The side of a polygon that is a side of each of two angles.

Signup and view all the flashcards

Incenter

The point of concurrency of the angle bisector of a triangle.

Signup and view all the flashcards

Altitude

In a triangle, a segment from a vertex of the triangle to the line containing the opposite side and perpendicular to that side.

Signup and view all the flashcards

Perpendicular bisector

In a triangle, a line/segment/ray that passes through the midpoint of a side and is perpendicular to that side.

Signup and view all the flashcards

Point of concurrency

Point of intersection of concurrent lines.

Signup and view all the flashcards

Orthocenter

Lines containing the altitudes of a triangle are concurrent, intersecting at a point.

Signup and view all the flashcards

Centroid

Point of concurrency of the medians of a triangle.

Signup and view all the flashcards

Concurrent lines

Three or more lines that intersect at a common point.

Signup and view all the flashcards

Circumcenter

Point of concurrency of the perpendicular bisector of a triangle.

Signup and view all the flashcards

Median

In a triangle, a line segment with endpoints that are a vertex of a triangle and the midpoint of the side opposite the vertex.

Signup and view all the flashcards

Indirect reasoning

Reasoning that assumes that this assumption leads to a contradiction of the hypothesis like a postulate theorem, or corollary.

Signup and view all the flashcards

Diagonal

Segment that connects any two nonconsecutive vertices.

Signup and view all the flashcards

Parallelogram

Quadrilateral with both pairs of opposite sides parallel.

Signup and view all the flashcards

Rectangle

Parallelogram with 4 right angles.

Signup and view all the flashcards

Rhombus

Parallelogram with 4 congruent sides.

Signup and view all the flashcards

Square

Parallelogram with 4 congruent sides and 4 right angles.

Signup and view all the flashcards

Trapezoid

Quadrilateral with 1 pair of parallel sides.

Signup and view all the flashcards

Bases

Parallel sides of a trapezoid.

Signup and view all the flashcards

Legs

Nonparallel sides of a trapezoid.

Signup and view all the flashcards

Base angles

Angles formed by a base and a leg.

Signup and view all the flashcards

Isosceles trapezoid

Legs of a trapezoid are congruent.

Signup and view all the flashcards

Midsegment of a trapezoid

Segment that connects the midpoints of the legs.

Signup and view all the flashcards

Kite

2 pairs of consecutive congruent sides.

Signup and view all the flashcards

Study Notes

Chapter 1 Vocabulary

  • n-gon: A polygon with n sides
  • Plane: A flat surface that extends indefinitely in all directions
  • Linear pair: Two adjacent angles whose non-common sides are opposite rays
  • Acute angle: An angle with a degree measure less than 90
  • Distance: The length of a segment between two points
  • Angle bisector: A ray that divides an angle into two congruent angles
  • Opposite rays: Rays that share a common endpoint and are collinear
  • Vertical angles: Two nonadjacent angles formed by intersecting lines
  • Construction: A method of creating geometric figures without measuring tools
  • Degrees: A unit of measure used for angles and arcs
  • Vertex: A common endpoint of an angle
  • Ray: Part of a line with one endpoint and extending indefinitely in one direction
  • Undefined terms: Words easily understood, not formally explained
  • Line segment: A measurable part of a line with two endpoints and all points between them
  • Intersection: The set of points common to two or more geometric figures
  • Coplanar: Points lying on the same plane
  • Angle: Formed by two noncollinear rays with a common endpoint
  • Point: A location with no size
  • Line: Made up of points, with no thickness
  • Segment bisector: A segment, line, or plane that intersects a segment at its midpoint
  • Perpendicular: Lines, segments, or rays that form right angles
  • Sides: The rays of an angle
  • Midpoint: The point on a segment exactly halfway between the endpoints
  • Congruent segments/angles: Segments or angles having the same measure
  • Supplementary angles: Two angles whose measures add up to 180
  • Complementary angles: Two angles whose measures add up to 90
  • Collinear: Points lying on the same line

Chapter 2 Vocabulary

  • Polygon: A closed figure formed by a finite number of coplanar segments
  • Perimeter: The sum of the lengths of the sides of a polygon
  • Regular polygon: A polygon with all congruent angles
  • Concave: A polygon with a line containing a side and a point in the interior.
  • Defined terms: Terms explained using other defined terms
  • Obtuse angle: An angle with a degree measure greater than 90
  • Regular polygon: A polygon with all congruent sides
  • Area: The number of square units needed to cover a surface
  • Space: Boundless three-dimensional set of all points
  • Adjacent angles: Two angles lying on the same plane, with a common vertex and side, but no common interior points
  • Alternate Interior Angles: Non-adjacent interior angles that lie on opposite sides of the transversal
  • Point-slope form: y - y₁ = m(x - x₁)
  • Parallel planes: Planes that do not intersect
  • Theorem: A proven statement or conjecture
  • Transversal: A line that intersects two or more lines at different points
  • Consecutive interior angles: Interior angles on the same side of the transversal
  • Statement: A sentence that is either true or false
  • Skew lines: Lines that do not intersect and are not coplanar
  • Slope: Ratio of change in y to change in x
  • Corresponding angles: Angles that lie on the same side of the transversal and on the same side of the lines
  • Parallel lines: Coplanar lines that do not intersect
  • Slope-intercept form: y = mx + b
  • Inductive reasoning: Arriving at a conclusion based on observations
  • Postulate/axiom: A statement that is accepted as true without proof
  • Deductive reasoning: Using facts, rules, definitions, or properties to reach a conclusion

Chapter 3 Vocabulary

  • Formal proof: Statements and reasons arranged in two columns
  • Counter example: Example showing a statement is not true
  • Conjecture: Educated guess
  • Corresponding Parts: Matching parts of congruent polygons
  • Corollary: Statement easily proven using a theorem
  • Vertex angle: The angle between the two sides of a polygon
  • Base angle: Two angles formed by the base and congruent side of an isosceles triangle
  • Auxiliary line: An extra line in a figure to understand geometric relationships
  • Included angle: The angle formed by two sides
  • Flow proof: Statements and reasons connected with boxes and arrows
  • Congruent polygons: Polygons with congruent corresponding parts
  • Exterior angle: Formed by one side and an extension of another side of a triangle
  • Legs/sides of an isosceles triangle: The two equal sides of an isosceles triangle
  • Remote interior angles: The two angles of a triangle not adjacent to the exterior angle
  • Included side: The side of a polygon shared by two angles

Chapter 4 Vocabulary

  • Incenter: Point of concurrency of the angle bisectors of a triangle
  • Altitude: Segment from a vertex to the line containing the opposite side, perpendicular to that side
  • Perpendicular bisector: A line/segment/ray that intersects the midpoint of a side and is perpendicular to that side
  • Point of concurrency: Point of intersection of concurrent lines
  • Orthocenter: Point of concurrency of the altitudes of a triangle
  • Centroid: Point of concurrency of the medians of a triangle
  • Concurrent lines: Three or more lines that intersect at a common point
  • Circumcenter: Point of concurrency of perpendicular bisectors of the sides of a triangle
  • Median: Segment joining a vertex and the midpoint of the opposite side of a triangle
  • Indirect reasoning: Reasoning that leads to a contradiction to prove a statement

Chapter 6 Vocabulary

  • Diagonal: Segment connecting two non-consecutive vertices of a polygon
  • Parallelogram: Quadrilateral with both pairs of opposite sides parallel
  • Rectangle: Parallelogram with four right angles
  • Rhombus: Parallelogram with four congruent sides
  • Square: Parallelogram with four congruent sides and four right angles
  • Trapezoid: Quadrilateral with one pair of parallel sides
  • Bases: Parallel sides of a trapezoid
  • Legs: Non-parallel sides of a trapezoid
  • Base angles: Angles formed by the base and the legs of a trapezoid
  • Isosceles trapezoid: Trapezoid with congruent legs
  • Midsegment of a trapezoid: Segment connecting the midpoints of the legs
  • Kite: Quadrilateral with two pairs of adjacent congruent sides

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

Honors Geometry Vocabulary PDF

Description

Test your understanding of essential vocabulary from Chapter 1 of Geometry. This quiz covers key terms such as n-gon, acute angle, and angle bisector, among others. Perfect for reinforcing foundational concepts in geometry.

More Like This

Root Word 'fract' Flashcards
8 questions

Root Word 'fract' Flashcards

CompliantMemphis avatar
CompliantMemphis
Glencoe Geometry Chapter 10 Vocabulary
16 questions

Glencoe Geometry Chapter 10 Vocabulary

SolicitousPelican7010 avatar
SolicitousPelican7010
Geometry Chapter 11 Vocabulary Flashcards
27 questions

Geometry Chapter 11 Vocabulary Flashcards

BenevolentDramaticIrony avatar
BenevolentDramaticIrony
Angles Vocabulary Quiz
13 questions

Angles Vocabulary Quiz

ProfoundPearTree avatar
ProfoundPearTree
Use Quizgecko on...
Browser
Open
Browser
Browser